Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 3p - 1 = 5?

Back

Add 1 to both sides to isolate the term with the variable: 3p = 6.

Front

How do you isolate a variable in an equation?

Back

You can isolate a variable by performing inverse operations to both sides of the equation.

Front

What is the solution to the equation 3p - 1 = 5?

Back

p = 2.

Front

Back

Subtract 7 from both sides, then multiply by 3 to isolate a: a = -6.

Front

What is the solution to the equation -4x - 14 = 6?

Back

x = -5.

Front

How do you solve the equation 3(x + 2) = 15?

Back

First, divide both sides by 3, then subtract 2 from both sides to find x.

Front

Back

p = -rac{11}{2}.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.